How To Factor Diamond Method
Page history last edited by Andrea Grieser 12 years, 4 months ago
The diamond method provides another systematic style to factor 2d degree polynomials of the form ax2 + bx + c that are "difficult," that is, those second degree polynomials that take a value for a other than 1.
This method is best illustrated using an instance.
Suppose nosotros want to cistron 2x2 - 5x - three.
i) Offset nosotros depict an "X" shape, our diamond. Nosotros put the value of a*c in the top, and b in the bottom.
two) Adjacent, we consider what factors of the value in the top of the diamond (-6) multiply to the value in the pinnacle of the diamond (-six) besides every bit add upward to the value in the bottom of the diamond (-5). The factors of -6 are:
1 and -6,
-one and 6,
two and -3,
-2 and 3
In this instance the factors that add upward to -5 are 1 and -half dozen. Nosotros place these values in the left and right parts of the diamond (does not thing which i goes where).
3) Now nosotros will brand a fraction out of the left and right values, making the existing values (the -6 and 1) the denominators, and the value of a (2) every bit the coefficient of x the numerator.
4) Nosotros reduce these fractions. The numerator value represents the variable part of the coefficient, and the denominator represents the number part of the coefficient.
five) This gives u.s.a. binomial factors of (10 - 3) and (2x + 1). Cheque that they are correct past multiplying them to see if nosotros get our original polynomial:
(10 - iii)(2x + ane) = 2x2 - 5x -3, which is our originial polynomial.
How To Factor Diamond Method,
Source: http://mrsgalgebra.pbworks.com/Diamond-Method-for-Factoring-Polynomials
Posted by: cookesweaver.blogspot.com
0 Response to "How To Factor Diamond Method"
Post a Comment